GCF of 828/35, 437/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 828/35, 437/893 i.e 23/31255 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/35, 437/893.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 828/35,437/893?
Given fractions are 828/35,437/893
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 828/35,437/893, numerators are 828,437
Denominators are 35,893
The GCF of 828,437 is 23 .
LCM of 35,893 is 31255.
The greatest common factor of 828/35,437/893 = [GCF of 828,437]/[LCM of 35,893]= 23/31255
Therefore, the GCF of 828/35,437/893 is 23/31255.
To find the highest common factor of 828,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The factors of 437 are 1, 19, 23, 437
The HCF of 828,437 is 23.
Lets's calculate GCF of 828,437
| 23 | 828, 437 |
| 36, 19 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 828,437 By Matching Biggest Common Factor Method
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 828,437 . The biggest common factor number is the GCF number.
So the greatest common factor 828,437 is 23.
Lets's calculate LCM of 35,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 31255
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/31255
Therefore, the GCF of Fractions 828/35,437/893 is 23/31255
Least Common Multiple of 35,893 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 35,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,893) x common factors =1 x 1 = 1
LCM(35,893) = ( 35 × 893 ) / 1
LCM(35,893) = 31255 / 1
LCM(35,893) = 31255
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FAQs on GCF of Fractions of 828/35, 437/893
1. What is the HCF of 828,437?
The HCF of 828,437 is 23
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 828/35, 437/893?
Answer: GCF of Numerators as per given numbers 828/35, 437/893 is
GCF of Numerators i.e. for 828,437 is 23
LCM of denominators i.e. for 35,893 is 31255.
Thus, GCF of Fractions is 23/31255.Finally, GCF of Fractions for 828/35, 437/893 is 23/31255.